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A new applicant lies on their resume 30% of the time when applying for a new job. A proud Human Resource manager brags that if a person is lying, they can catch the lie 90% of the time. If the new applicant does not lie on their resume, then the HR manager would believe they are lying 5% of the time.
Answer the following questions rounding to three decimal places.
a) What is the probability the HR manager accuses the person of lying?
b) Given the person was lying, what is the probability the HR manager would accuse the person of lying?
c) Given the HR manager accused the person of lying, what is the probability the person was lying?
Please help with steps
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